Mathematical Sciences Department Analysis/PDE Seminar - Giovanna Citti, Universita di Bologna "Regularity of solution of sub-Riemannian type operators" AK219

Monday, September 25, 2023
11:00 am to 12:00 pm
Floor/Room #

Mathematical Sciences Department

Analysis & PDE Seminar 

Speaker: Giovanna Citti, Università di Bologna 

Monday, September 25, 2023 

11:00 am – 12:00 pm 

Atwater Kent 219 

Zoom Meeting ID: 929 6655 1992 

Title: Regularity of solution of sub-Riemannian type operators  

Abstract: We prove a Poincaré type inequality, for a large class of operators, containing subelliptic and Kolmogorov type PDEs. As a consequence, we deduce Hölder regularity of weak solutions. The main scope of the paper is to unify in a natural way several results in the literature for these type of operators. In particular we show that the elliptic version of the Moser argument can be used also in the parabolic setting, at the price of the lack of uniformity in the constants. 



Mathematical Sciences